GCF of 9945/290, 5460/7509
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9945/290, 5460/7509 i.e 195/2177610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9945/290, 5460/7509.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 9945/290,5460/7509?
Given fractions are 9945/290,5460/7509
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 9945/290,5460/7509, numerators are 9945,5460
Denominators are 290,7509
The GCF of 9945,5460 is 195 .
LCM of 290,7509 is 2177610.
The greatest common factor of 9945/290,5460/7509 = [GCF of 9945,5460]/[LCM of 290,7509]= 195/2177610
Therefore, the GCF of 9945/290,5460/7509 is 195/2177610.
To find the highest common factor of 9945,5460, we have to find the factors of both numbers and list the highest common factor.
The factors of 9945 are 1, 3, 5, 9, 13, 15, 17, 39, 45, 51, 65, 85, 117, 153, 195, 221, 255, 585, 663, 765, 1105, 1989, 3315, 9945
The factors of 5460 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 52, 60, 65, 70, 78, 84, 91, 105, 130, 140, 156, 182, 195, 210, 260, 273, 364, 390, 420, 455, 546, 780, 910, 1092, 1365, 1820, 2730, 5460
The HCF of 9945,5460 is 195.
Lets's calculate GCF of 9945,5460
| 3 | 9945, 5460 |
| 5 | 3315, 1820 |
| 13 | 663, 364 |
| 51, 28 |
∴ So the GCF of the given numbers is 3 x 5 x 13 = 195
Greatest Common Factor of 9945,5460 By Matching Biggest Common Factor Method
Now, list down the factors of 9945
:1,3,5,9,13,15,17,39,45,51,65,85,117,153,195,221,255,585,663,765,1105,1989,3315,9945
Now, list down the factors of 5460
:1,2,3,4,5,6,7,10,12,13,14,15,20,21,26,28,30,35,39,42,52,60,65,70,78,84,91,105,130,140,156,182,195,210,260,273,364,390,420,455,546,780,910,1092,1365,1820,2730,5460
Greatest Common Factor
We found the factors 9945,5460 . The biggest common factor number is the GCF number.
So the greatest common factor 9945,5460 is 195.
Lets's calculate LCM of 290,7509
Given numbers has no common factors except 1. So, there LCM is their product i.e 2177610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 195/2177610
Therefore, the GCF of Fractions 9945/290,5460/7509 is 195/2177610
Least Common Multiple of 290,7509 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 290,7509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,7509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(290,7509) x common factors =1 x 1 = 1
LCM(290,7509) = ( 290 × 7509 ) / 1
LCM(290,7509) = 2177610 / 1
LCM(290,7509) = 2177610
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FAQs on GCF of Fractions of 9945/290, 5460/7509
1. What is the HCF of 9945,5460?
The HCF of 9945,5460 is 195
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 9945/290, 5460/7509?
Answer: GCF of Numerators as per given numbers 9945/290, 5460/7509 is
GCF of Numerators i.e. for 9945,5460 is 195
LCM of denominators i.e. for 290,7509 is 2177610.
Thus, GCF of Fractions is 195/2177610.Finally, GCF of Fractions for 9945/290, 5460/7509 is 195/2177610.